Sentence examples for method with analytical from inspiring English sources

It is validated by comparing the results of the method with analytical solutions, results from other methods and experimental data.

By using time-resolved spectroscopy (TRS), we have been developing some approaches to these issues: (1) the method with analytical solutions of the diffusion equation, (2) the method with spatially resolved and time-resolved reflectances, (3) time-segmented analysis of time-resolved reflectances and (4) diffuse optical tomography (DOT).

The maximization follows the BFGS method with analytical derivatives.

Although the aerodynamic forces (mathbf{f}_{i}) in the core (in the fiber tangent and velocity) are implicitly incorporated, the flow data that appears in them is queried with the fiber position of the old time level, such that the resulting large nonlinear equation system can be solved using a Newton method with analytical Jacobi matrix and Armijo step-size control.

Glucose was analyzed using enzymatic methods with analytical coefficients of variation (CVs) under 2%.

Finally, to integrate these effects, the approach uses questionnaire survey and the method combining contingent valuation method (CVM) with analytical hierarchy process (AHP) to solve "whole-part bias" and to acquire results.

The NKM with a diagonal analytical Jacobian and matrix-free method with an analytical preconditioner are the fastest methods and the superiority of one to another depends on the flow problem.

This again demonstrates the superiority of particle filter method when combined with analytical method for generations of response samples.

The analysis of the solution was conducted in order to compare this method with known analytical methods of foundation designing.

By using the third-moment (TM) method with improved analytical solutions, the stochastic models of corrosion initiation of reinforcing steel, along with the consequent surface cracking of concrete cover are proposed.

After that, it is validated by comparing the concrete lining stresses and reinforcement obtained by the proposed method with the analytical solutions for the ideal case of a circular tunnel in an infinite elastic body.